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Let's go through the questions one by one, using dimensional analysis (factor-label method) to convert the given units, and I'll also show the formulas involved.

1. **Convert 95 km/h to m/s:**

   - Conversion factor: \(1 \, \text{km} = 1000 \, \text{m}\), and \(1 \, \text{hour} = 3600 \, \text{seconds}\)
   
   - Formula:
   \[
   95 \, \text{km/h} \times \frac{1000 \, \text{m}}{1 \, \text{km}} \times \frac{1 \, \text{h}}{3600 \, \text{s}} = \frac{95 \times 1000}{3600} \, \text{m/s} = 26.39 \, \text{m/s}
   \]

2. **Convert 687 nm to meters:**

   - Conversion factor: \(1 \, \text{nm} = 10^{-9} \, \text{m}\)
   
   - Formula:
   \[
   687 \, \text{nm} \times \frac{10^{-9} \, \text{m}}{1 \, \text{nm}} = 6.87 \times 10^{-7} \, \text{m}
   \]

3. **Convert 365 km/day to m/s:**

   - Conversion factor: \(1 \, \text{km} = 1000 \, \text{m}\), and \(1 \, \text{day} = 86400 \, \text{seconds}\)
   
   - Formula:
   \[
   365 \, \text{km/day} \times \frac{1000 \, \text{m}}{1 \, \text{km}} \times \frac{1 \, \text{day}}{86400 \, \text{s}} = \frac{365 \times 1000}{86400} \, \text{m/s} = 4.22 \, \text{m/s}
   \]

4. **Convert 10.5 m/s to km/h:**

   - Conversion factor: \(1 \, \text{m} = 0.001 \, \text{km}\), and \(1 \, \text{second} = \frac{1}{3600} \, \text{hours}\)
   
   - Formula:
   \[
   10.5 \, \text{m/s} \times \frac{1 \, \text{km}}{1000 \, \text{m}} \times \frac{3600 \, \text{s}}{1 \, \text{hour}} = \frac{10.5 \times 3600}{1000} \, \text{km/h} = 37.8 \, \text{km/h}
   \]

5. **Convert 3.0 m/s² to km/h²:**

   - Conversion factor: \(1 \, \text{m} = 0.001 \, \text{km}\), and \(1 \, \text{second}^2 = \left(\frac{1 \, \text{hour}}{3600 \, \text{seconds}}\right)^2 = \frac{1}{12960000} \, \text{hour}^2\)
   
   - Formula:
   \[
   3.0 \, \text{m/s}^2 \times \frac{1 \, \text{km}}{1000 \, \text{m}} \times \frac{(3600 \, \text{s})^2}{1 \, \text{h}^2} = 3.0 \times \frac{1}{1000} \times 12960000 \, \text{km/h}^2 = 38880 \, \text{km/h}^2
   \]

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Would you like any further clarification on these conversions?

Here are 5 related questions to practice:
1. Convert 120 m/min to km/h.
2. Convert 550 cm to meters.
3. How many meters are in 450 micrometers?
4. Convert 2.5 km/h to m/s.
5. Convert 9.8 m/s² to cm/s².

**Tip:** Always keep track of your units when multiplying or dividing to avoid mistakes in dimensional analysis.

Use the factor label method (dimensional analysis) to convert the following units:
1. 95 km/h to m/s
2. 687 nm to m
3. 365 km/day to m/s
4. 10.5 m/s to km/h
5. 3.0 m/s² to km/h²

Solve unit conversion problems using the factor label method. This tutorial covers converting speed, distance, and acceleration units such as km/h to m/s, nm to meters, km/day to m/s, and more.

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